Fourier and Laplace Transforms
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- R. J. Beerends, Ministry of Defence, The Hague
- H. G. ter Morsche, Technische Universiteit Eindhoven, The Netherlands
- J. C. van den Berg, Agricultural University, Wageningen, The Netherlands
- E. M. van de Vrie, Open Universiteit
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This textbook describes in detail the various Fourier and Laplace transforms that are used to analyze problems in mathematics, the natural sciences and engineering. These transforms decompose complicated signals into elementary signals, and are widely used across the spectrum of science and engineering. Applications include electrical and mechanical networks, heat conduction and filters. In contrast with other books, continuous and discrete transforms are given equal coverage.Read more
- Textbook written for self-study, complete with illustrated definitions, theorems and concepts
- Includes a rigorous treatment of distribution theory
- Solutions available to lecturers from email@example.com
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- Date Published: February 2010
- format: Adobe eBook Reader
- isbn: 9780511669002
- contains: 50 tables 125 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Signals and systems
2. Mathematical prerequisites
3. Fourier series: definition and properties
4. The fundamental theorem of Fourier series
5. Applications of Fourier series
6. Fourier integrals: definition and properties
7. The fundamental theorem of the Fourier integral
9. The Fourier transform of distributions
10. Applications of the Fourier integral
11. Complex functions
12. The Laplace transform: definition and properties
13. Further properties, distributions, and the fundamental theorem
14. Applications of the Laplace transform
15. Sampling of continuous-time signals
16. The discrete Fourier transform
17. The fast Fourier transform
18. The z-transform
19. Applications of discrete transforms.
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